Question

The cost of levelling and turfing a square field at Rs. 160 per hectare is Rs. 2624.40. The cost of surrounding it with a railing costing 25 paise per metre is:

• A. Rs. 350
• B. Rs. 375
• C. Rs. 400
• D. Rs. 405

Answer 1

The Correct Option is D

The cost to level and turf the field is calculated based on the area of the field and the rate per hectare. Given that the cost is Rs. 2624.40 and the rate is Rs. 160 per hectare, we first find the area in hectares:

Area = Total Cost / Rate per Hectare

Area = 2624.40 / 160 = 16.4025 hectares

Convert area from hectares to square meters:

1 hectare = 10,000 square meters

Total Area in square meters = 16.4025 × 10,000 = 164,025 square meters

For a square field, let the side of the field be s meters. Thus,

s² = 164,025

s = √164,025 ≈ 405 meters

To find the cost of the railing, calculate the perimeter of the square field:

Perimeter = 4 × s = 4 × 405 = 1620 meters

The cost of railing per meter is 25 paise, which is Rs. 0.25:

Cost of railing = 1620 × 0.25 = Rs. 405

The cost of surrounding the square field with a railing is Rs. 405.

Therefore, the correct answer is: Rs. 405